Related lectures (40)
Galactic Orbits and Oort Constants
Explores stellar orbits in galaxies, focusing on Oort constants, integrals of motion, and galactic potentials.
Stellar Orbits: Lagrange Points
Explores stellar orbits in rotating potentials, focusing on surfaces of section, integrals of motion, and stability around Lagrange points.
Nonlinear Dynamics: Bifurcations and Stability
Explores nonlinear dynamics, bifurcations, stability, weakly nonlinear systems, saturation, Hopf bifurcation, and global stability analysis.
Dynamical Systems: Maps and Stability
Explores one-dimensional maps, periodic solutions, and bifurcations in dynamical systems.
Bistability in Gene Regulation
Explores bistability in gene regulation, analyzing fixed points, bifurcation diagrams, and hysteresis behavior in gene expression.
Transcritical Bifurcation: SIS Epidemics
Explores transcritical bifurcation in SIS epidemics, analyzing mathematical equations and system dynamics.
Metal Structures: Buckling and Deformation
Explores buckling modes, Euler's formula, elastic behavior, and geometric imperfections in metal structures.
Wave Speed & Arterial Compliance
Explores wave speed, arterial compliance, and wave reflections in arteries, including characteristic impedance and pulse wave velocity.
ODE Stability: Concepts and Analysis
Explores the stability analysis of ODE systems, focusing on convergence and stability criteria, with practical examples and theoretical explanations.
Progressive Euler Convergence
Covers the convergence of the progressive Euler method for ODE systems.

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